link invariant
C7460
concept
A link invariant is a quantity or property assigned to a link (a collection of intertwined loops in three-dimensional space) that remains unchanged under ambient isotopies, distinguishing links up to continuous deformation.
All labels observed (3)
| Label | Occurrences |
|---|---|
| link invariant canonical | 7 |
| configuration of link diagrams | 1 |
| fixed link system | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: link invariant
Generated description
A link invariant is a quantity or property assigned to a link (a collection of intertwined loops in three-dimensional space) that remains unchanged under ambient isotopies, distinguishing links up to continuous deformation.
Instances (9)
| Instance | Via concept surface |
|---|---|
| Jones polynomial | — |
| Conway skein triple (L₊, L₋, L₀) | configuration of link diagrams |
| HOMFLY-PT polynomial | — |
| Conway polynomial | — |
| Triangle Link | fixed link system |
| Witten–Reshetikhin–Turaev invariant | — |
| Kauffman polynomial | — |
| Khovanov homology | — |
| Alexander polynomial | — |